The Minimum Spectral Radius of Signless Laplacian of Graphs with a Given Clique Number

In this paper we observe that the minimal signless Laplacian spectral radius is obtained uniquely at the kite graph PKn−ω,ω among all connected graphs with n vertices and clique number ω. In addition, we show that the spectral radius μ of PKm,ω (m ≥ 1) satisfies

Bibliographic Details
Main Authors: Su Li, Li Hong-Hai, Zhang Jing
Format: Article
Language:English
Published: Sciendo 2014-02-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:http://www.degruyter.com/view/j/dmgt.2014.34.issue-1/dmgt.1718/dmgt.1718.xml?format=INT